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Finding the Fourth Proportional to 4,978.46, 7,462.45 and 2,508.09

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Solution

The fourth proportional to 4,978.46, 7,462.45 and 2,508.09 is: 3,759.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.46 : 7,462.45 = 2,508.09 : x
  2. Step 2: Convert to fraction form
    4,978.46/7,462.45 = 2,508.09/x
  3. Step 3: Cross multiply
    4,978.46x = 7,462.45 × 2,508.09
  4. Step 4: Simplify right side
    4,978.46x = 18,716,496.22
  5. Step 5: Solve for x
    x = 18,716,496.22/4,978.46
  6. Step 6: Final answer
    x = 3,759.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.